Question

If |x + 3| ≥ 10, then

A. x ∈ (−13, 7] 

B. x ∈ (−13, 7) 

C. x ∈ (−∞, −13) ∪ (7,∞) 

D. x ∈ (−∞, −13] ∪ [7, ∞)

Answer 1

Option : (D)

|x + 3| ≥ 10 

x + 3 ≤ -10 and x + 3 ≥ 10 

x ≤ -13 and x ≥ 7 

x ∈ (-∞, -13] [7, ∞)